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MAVERICK [17]
3 years ago
9

Please i need help with this rn

Mathematics
1 answer:
larisa86 [58]3 years ago
3 0

Hi there!

\large\boxed{f(9) = 12}

Evaluating f(x) at x = 9 means we must use the piecewise function where x = 9 is included.

f(x) = 12 includes 9 because a "≤" is inclusive of the interval. Thus:

f(9) = 12

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<span>Martin deposits $200 in a savings account that earns 5% annual interest.

year         interest                       balance

1              200 * 5%                    200(1.05)

2              200(1.05) * 5%          200(1.05)^2

3              200(1.05)^2*5%        200(1.05)^3

y                                                200(1.05)^y

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four years later, cary deposits $200 in an account earning the same interest.

</span>
<span><span>year         interest                       balance

5              200 * 5%                    200(1.05)

6              200(1.05) * 5%          200(1.05)^2

7             200(1.05)^2*5%        200(1.05)^3

y                                                200(1.05)^(y-4)

=> c = 200(1.05)^ (y-4)
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Answer:
Martin: 200(1.05)^y
Cary: 200(1.05)^(y–4)
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